Question
Question: If the line y = 2x + l be a tangent to the hyperbola 36x<sup>2</sup> – 25y<sup>2</sup> = 3600, then...
If the line y = 2x + l be a tangent to the hyperbola
36x2 – 25y2 = 3600, then l =
A
16
B
–16
C
± 16
D
None of these
Answer
± 16
Explanation
Solution
line y = 2x + l
Hyperbola 36x2 – 25y2 = 3600
Ž100x2 – 144y2 = 1
Now C = ±a2m2−b2
l = ±100(4)−144 = 256
Ž l = ± 16